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Finding the Third Proportional to 45,037 and 104,263

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Solution

The third proportional to 45,037 and 104,263 is: 241,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,037 : 104,263 = 104,263 : x
  2. Step 2: Convert to fraction form
    45,037/104,263 = 104,263/x
  3. Step 3: Cross multiply
    45,037x = 104,263 × 104,263
  4. Step 4: Simplify right side
    45,037x = 10,870,773,169
  5. Step 5: Solve for x
    x = 10,870,773,169/45,037
  6. Step 6: Final answer
    x = 241,374.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.